Geodesic
The ancient problem of duplication of a cube in high school teaching
The Teaching of Mathematics, XIII (2010) no. 1, p. 51 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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The paper is devoted to exposition of constructions with straightedge and compass, constructible numbers and their position with respect to all algebraic numbers. Although the large number of constructions may be accomplished with straightedge and compass, one of the known problems of this kind dating from Greek era is duplication of a cube. The given proof in this paper is elementary and self-contained. It is suitable for teachers, as well as for high school students.
Classification : 1AMS97G40 97H40 2ZDMG45 H45
Keywords: Duplication of a cube, construction with compass and straightedge, constructible number, algebraic number. 
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Andrea Grozdanić; Gradimir Vojvodić. The ancient problem of duplication of a cube in high school teaching. The Teaching of Mathematics, XIII (2010) no. 1, p. 51 . http://geodesic.mathdoc.fr/item/TM2_2010_XIII_1_a3/